We present theoretical calculations of the dynamics of end-grafted cha
ins on a solid substrate approaching their equilibrium conformations w
ithin a compatible network placed on the substrate. We assume that T m
uch greater than T-g and that the motion is dominated by entanglements
. The problem has two limits corresponding to high and low surface-gra
fting density of the chains. In the latter case some chemical affinity
between network and chain is required to ensure penetration. We make
detailed calculations on each limit and find that in both cases there
are three dynamical regimes: (i) fast Rouse-like penetration of part o
f the grafted chain, (ii) retraction of the free ends and (iii) diffus
ive dynamics of a slow variable. Both adhesive strength and interfacia
l width are predicted to grow on long timescales varying exponentially
with molecular weight.